Answer:
the length is 98 meters and the width 98 meterss
Step-by-step explanation:
We have that the length is l and the width is w, we know that:
P = 2 * w + 2 * l
if we solve for it, we have:
l = P / 2 - w
Now, we know that the area is:
A = l * w
if we replace l, we are left with:
A = (P / 2 - w) * w
A = P * w / 2 - w ^ 2
we derive to know the maximum area and we equal 0 and we have:
A '= P / 2 - 2 * w
0 = P / 2 - 2 * w
w = P / 4
now for him:
l = P / 2 - P / 4
l = P / 4
Therefore, if we replace:
l = 392/4 = 98
w = 392/4 = 98
For the maximum area the length is 98 meters and the width 98 meterss
Use the following information for #19
Connor makes $120 for every 10 hours he works.
#19 If Connor earns $300, how many hours has he worked?
Answer:
25 hours
Step-by-step explanation:
$120 for every 10 hours
$12 for every hour
$300/12= 25 hours
Identify and explain the error.
Answer:
Step-by-step explanation:
Strictly speaking, 15% isn't precisely the same as 0.15; 0.15 is the decimal fraction used to calculate 15% of some quantity.
15% of 52 is indeed 7.8. $7.80 is the discount that is to be SUBTRACTED from the regular price ($52). Adding $7.80 to $52 is incorrect.
Also, 52 + 7.8 - 59.8 is incorrect: it's not an equation (but should be one), and we should be subtracting $7.80 from $52.
the ratio of the number of Annes pencils to the number of jasons pencils is 4:3. Anne has 100 pencils how many pencils does Jason have
Answer:
Jason has 75 pencils.
Step-by-step explanation:
In order to get from 4 to 100, you must multiply by 25 (100/4 = 25). And in order to find the amount of pencils Jason has, you must have an equivalent ratio. So you have to also multiply 3 by 25, 3 * 25 = 75. Jason has 75 pencils.
please help!!!
All of the triangles above are _____ triangles.
a.) obtuse
b.) isosceles
c.) right
d.) acute
What would the football player's weight be on the moon where acceleration due to gravity is
1.60 m/s??
Answer:
Step-by-step explanation:
Around 0
How many edges and vertices does a prism with a 50 sided end face have
plzzz help me
I will mark as brainliest
Write the equation in standard form for the circle passing through (6, 6) centered at the
origin
Answer:
x² + y² = 72
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
The radius is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 6)
r = [tex]\sqrt{(6-0)^2+(6-0)^2}[/tex]
= [tex]\sqrt{6^2+6^2}[/tex]
= [tex]\sqrt{36+36}[/tex]
= [tex]\sqrt{72}[/tex]
Thus
x² + y² = ([tex]\sqrt{72}[/tex] )² , that is
x² + y² = 72 ← equation of circle
Question 3(Multiple Choice Worth 1 points)
(08.05 MC)
The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)?
g(x) = (x + 3)2
g(x) = x2 − 3
g(x) = x2 + 3
g(x) = (x − 3)2
Answer:
[tex]g(x)=(x+3)^2[/tex] best describes g(x)
Step-by-step explanation:
We are given an equation of graph[tex]f(x)=x^2[/tex]
Rule : When the graph f(x) shifts left by c units . So, resultant graph is f(x+c)
Now we are given that The graph of [tex]f(x) = x^2[/tex] is shifted 3 units to the left to obtain the graph of g(x).
So, By using rule :
[tex]f(x+3)=(x+3)^2[/tex]
So, [tex]g(x)=(x+3)^2[/tex]
So, Option A is true
Hence [tex]g(x)=(x+3)^2[/tex] best describes g(x)
Please help me i have 15 minutes left please help ill give 15 points
Step-by-step explanation:
h(x)= 1/8x^3-x^2 Over which interval does h have a positive average rate of change ?
Answer:
6<x<8? I think this is the answer. I am not sure so please do not rely on me. I am not the smartest!
Step-by-step explanation:
How to check if a binomial is a difference of squares ?
Guess the riddle!!!!
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?
Answer: 10 animals would be going to the river
Step-by-step explanation:
Took the test
NEED HELP ASAP
In the unit similar triangles and trigonometry, what is “ compass bearings ?”
Answer:
this is what I found "The bearing of a point is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass with the point. A bearing is used to represent the direction of one point relative to another point."
I can't really make sense of it though...
Answer:
What is the difference between constructing a square and constructing a regular hexagon?
The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.
The radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.
The square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
The square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
Step-by-step explanation:
Solve the system of equations.
y= 3x
y= x2-10
Answer:
(-5, 2) and (2, 6)
Step-by-step explanation:
Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.
3x = x^2 - 10
x^2 - 3x - 10 = 0
Use the quadratic equation to solve for x.
x = - 5, 2
Now solve for y using these two values of x by substituting it back into the equations.
y = - 15, 6
In coordinate form, (-5, 2) and (2, 6)
What is the range of the data
represented in the dot plot below?
2
3
0
Answer:
Range = 3
Step-by-step explanation:
First, start off by ordering the list from least to greatest. Then, subtract the least number (0) from the greatest number (3), which will get you the range of 3.
Hope this helps! :D
Which choice shows the image of triangle ABC after a reflection over the y-axis followed by a rotation of 180° around the origin?
Answer: the second one
Step-by-step explanation:
The first one is reflection over the x-axis, rotated, and translated. The third one is rotated 90 degrees
The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
From the graph coordinates of triangle ABC are A(-5, 4), B(-2, 4) and C(-1, 1).
(x, y) becomes (-y, x) in 180° clockwise rotation
A(-5, 4)→(-4, -5)
B(-2, 4)→(-4, -2)
C(-1, 1)→(-1, -1)
Now,
The reflection of point (x, y) across the y-axis is (-x, y).
Then, coordinates become
(-4, -5)→A'(4, -5)
(-4, -2)→B'(4, -2)
(-1, -1)→C'(1, -1)
The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.
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Find the Surface Area of this triangular prism.
Answer:
408 squared units
Pure gold is often mixed with other metals to produce jewelry. Pure gold is 24 carat. 12 carat gold is 12/24 or 50% gold, 6 carat gold is 6/24 or 25% gold, etc. A jeweler has some 12 carat gold and some 21 carat gold and wants to produce 90 g of 75% gold.
a. What percentage of gold is 21 carat?
b. How many grams of 12 carat gold and 21 carat gold are needed to produce the mixture?
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
[tex]x + y = 90[/tex]
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]
We now have a system of equations which we can solve to find the necessary mass of each type.
[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]
[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
We now have a system of equations which we can solve to find the necessary mass of each type.
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Step-by-step explanation:
Sean drinks 350mL of milk every day. How many liters of milk does he drink in a week?
Answer:
2.45 L in a week
Step-by-step explanation:
First find out how many ml he drinks in a week
350 mL * 7 days
2450 mL in a week
We know that 1000 mL = 1 L
2450 mL * 1 L /1000 mL = 2.45 L in a week
Answer:
2.450 litres.
Step-by-step explanation:
The answer is converting into Litres as we know 7 x 35 = 350-105 = 245++0 = 2450 ml
Mrs. Linda has 17.16 cups of brownie mix. If each
brownie uses 0.33 cups of mix, how many
brownies can Mrs. Linda make?
Answer:
52 brownies
Step-by-step explanation:
If you divide 17.16 by 0.33, you get 52
Carl bought 17 packs of baseball cards at a flea market, at a total cost of $37.91. If each pack of cards cost the same amount, how many much de each pack cost
Answer:
[tex]=2.23[/tex]$
Step-by-step explanation:
[tex]\frac{37.91}{17}\\\mathrm{Divide\:the\:numbers:}\:\frac{37.91}{17}=2.23\\=2.23[/tex]
Answer:
$2.23
Step-by-step explanation:
17 packs = $37.91
/17. /17.
1 pack = $2.23
When the transformation T, -, is performed on
point A, its image is point A'(-3,4). What are the
coordinates of A?
1) (5,-5)
2) (-5,5)
3) (-1,3)
4) (-6,-4)
A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answer in terms of pie
Answer:
Step-by-step explanation:
volume of cone=1/3 πr²h
volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h
=1/3π(R²H-r²h)
=1/3π(4.5²×9-3²×6)
=1/3π×9×3(4.5×1.5-2)
=9π(6.75-2)
=9π×4.75
=42.75π cm³
The volume of frustum of cone is [tex]42.75\pi[/tex]
What is frustum of cone?Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
Where,
R = Radius of the bigger circular end
r = radius of the smaller circular end
H = height of frustum
According to the question
Original height of cone = 9 cm
Radius of the bigger circular end = 4.5 cm
Radius of the smaller circular end = 3 cm
Height of frustum = 3 cm
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
= [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]
= [tex]\pi [ 20.25 + 9 + 13.5][/tex]
= [tex]42.75\pi[/tex]
Hence, The volume of frustum of cone is [tex]42.75\pi[/tex] .
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Need help on this please, a positive answer only :)!
Answer:
all statements are true
Step-by-step explanation:
for A real numbers are all numbers B is all the x values C when f(x)=5 x=-2 D when f(x)=-1 x=-6
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
2 units
4 units
8 units
16 units
Answer:
the answer is b, 4 units
Answer:
4
Step-by-step explanation:
quatro
find the slope of the line that passses thruogh 7.7 and 2,1
Answer:
6/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-7)/(2-7)
m=-6/-5
m=6/5
equivalent fractions for 5 out of 7
Answer:
There are 20 ways but I will give you 4 :)
1. Multiply the numerator and the denominator by 2:
5/7 x 2/2 = 10/14
2. Multiply the numerator and the denominator by 3:
5/7 x 3/3 = 15/21
3. Multiply the numerator and the denominator by 4:
5/7 x 4/4 = 20/28
4. Multiply the numerator and the denominator by 5:
5/7 x 5/5 = 25/35
Step-by-step explanation:
There you go!
Anita has two options for how to invest $1,000. Plan A: put the 1,000 in an account that pays $100 per year. Plan B: put the 1,000 in an account that pays 5 percent interest per year. What statement is true? Plan A will be worth more than plan B after two years. Plan A will be worth more than plan B after one year. Plan B will be worth more than plan A after three years. Plan B will be worth more than plan A after four years.
Answer:
True Plan A will be worth more than plan B after two years.
True Plan A will be worth more than plan B after one year.
False Plan B will be worth more than plan A after three years.
False Plan B will be worth more than plan A after four years.
Step-by-step explanation:
plan A proves 10% Standard interest as it is $100 every year
plan B proves $50 per year Standard interest and may increase if this was CI interest as it may include interest on interest but nothing was mentioned that Plan B was CI type interest or any different from plan B type.
Because of this we can only agree option 1+2 out of 1-4 is true.
Find the slope of the line through (2, -3) and (-4, 3).
Answer:
Slope= -1x OR -x
Step-by-step explanation:
rise over run: y2 - y1 / x2 - x1
= 3 - (-3) / -4 - 2
= 6 / -6
= -1
Answer:
Y=-x-3 slope =-1
Step-by-step explanation:
To first find the gradient u have to subtract the y intercepts and the x intercepts
3--3/-4-2
=6/-6=-1
Y-3/x--4=-1
Y-3=-1(x+4)
Y-3=-x+-4
Y=-x-4+3
Y=-x-3
Slope=-1
Helpppppp meeee plzzzz
Answer:
its rather B or C
Step-by-step explanation:
c(c)=y
so the slope is Y=2x+2
the reason why its rather B or C is because of the axis
i dont know what belongs where
